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Simplifying -2m + 5 = 3m + -45 Reorder the terms: 5 + -2m = 3m + -45 Reorder the terms: 5 + -2m = -45 + 3m Solving 5 + -2m = -45 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. 5 + -2m + -3m = -45 + 3m + -3m Combine like terms: -2m + -3m = -5m 5 + -5m = -45 + 3m + -3m Combine like terms: 3m + -3m = 0 5 + -5m = -45 + 0 5 + -5m = -45 Add '-5' to each side of the equation. 5 + -5 + -5m = -45 + -5 Combine like terms: 5 + -5 = 0 0 + -5m = -45 + -5 -5m = -45 + -5 Combine like terms: -45 + -5 = -50 -5m = -50 Divide each side by '-5'. m = 10 Simplifying m = 10
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